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Finding the Third Proportional to 6,428,600 and 13,389,748

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Solution

The third proportional to 6,428,600 and 13,389,748 is: 27,888,708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428,600 : 13,389,748 = 13,389,748 : x
  2. Step 2: Convert to fraction form
    6,428,600/13,389,748 = 13,389,748/x
  3. Step 3: Cross multiply
    6,428,600x = 13,389,748 × 13,389,748
  4. Step 4: Simplify right side
    6,428,600x = 179,285,351,503,504
  5. Step 5: Solve for x
    x = 179,285,351,503,504/6,428,600
  6. Step 6: Final answer
    x = 27,888,708.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.